110.25 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

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Numbers can be categorized into different types. A fraction is one of its kinds. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. Numbers in decimal form are expressed with a decimal point (.), for example, 110.25. We are going to learn how to convert a decimal to a fraction.

What is 110.25 as a Fraction?

$110.25 as a fraction$

Answer

The answer for 110.25 as a fraction will be 441/4.

Explanation

Converting a decimal to a fraction is a straightforward task for students. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 110.25 is the number on the numerator and the base number 1 will be the denominator. Then, 110.25 becomes 110.25/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 100 (because there are 2 decimal places). 110.25/1 × 100/100 = 11025/100

Step 3: Here, 25 is the GCD of 11025 and 100. Now, to make the fraction simpler, divide the numerator and denominator by 25. 11025/100 = 441/4 Hence, 110.25 is in the form of the fraction 441/4.

Thus, 110.25 can be written as a fraction 441/4.

Important Glossaries for 110.25 as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Greatest Common Divisor (GCD): The largest positive integer that divides each of the integers of a given set without a remainder.